# Arithmetic progression Calculator

## Calculates the n-th term and sum of the arithmetic progression with the common difference.

 $\normal Sn=a+(a+d)+(a+2d)+\cdots +(a+(n-1)d)\\$
 initial term a common difference d number of terms n n＝1,2,3... 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit the n-th term an sum Sn
 $\normal Arithmetic\ progression\\\vspace{5}(1)\ a_n=a+(n-1)d\\(2)\ Sn={\large\sum_{\small k=1}^{\small n}}a_k\\\hspace{30} =a+(a+d)+(a+2d)+\cdots +(a+(n-1)d)\\\hspace{30} ={\large\frac{n}{2}}(a+a_n)\\\hspace{30} ={\large\frac{n}{2}}(2a+(n-1)d)\\$
Arithmetic progression
 [1-3] /3 Disp-Num5103050100200
[1]  2018/02/24 05:57   Male / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
I want to write wassce 2018 sept
[2]  2017/06/24 04:32   - / - / - / Useful /
Comment/Request
Pls solve this for me: the first term of an arithmetic progression (AP) is -8. If the ratio of the 7th term is 5: 8, find the common difference of the AP
[3]  2012/10/29 21:27   Male / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
don't know how to do it, plz help me...
Comment/Request
2+5+6+7+10+11+....nth find summation of nth term

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